how to generate random point inside a sphere

Question

Amrita Datta 2019-7-24

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https://ww2.mathworks.cn/matlabcentral/answers/473205-how-to-generate-random-point-inside-a-sphere

评论： DGM 2024-2-23

I am trying to generate random points inside a sphere given the radius and the center. If anyone has a sample code or can help me with this, thanks for the help.

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Answer 1

Torsten 2019-7-24

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编辑：Torsten 2019-7-24

R = 3;    % radius of the sphere
Xc = 4;
Yc = -4;
Zc = pi;  % (Xc,Yc,Zc) center of the sphere
rval = 2*rand(1)-1;
elevation = asin(rval);
azimuth = 2*pi*rand(1);
radius = R*(rand(1))^(1/3);
[x,y,z] = sph2cart(azimuth,elevation,radius);
x=x+Xc
y=y+Yc
z=z+Zc

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Amrita Datta 2019-7-24

sphere.JPG

I want to like random points inside a sphere

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Answer 2

Najwa Yaminah 2020-1-17

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https://ww2.mathworks.cn/matlabcentral/answers/473205-how-to-generate-random-point-inside-a-sphere#answer_410593

编辑：Ashish 2020-5-13

在 MATLAB Online 中打开

I have an assignment so I try the following code :

function getPoint() {
    var d, x, y, z;
    do {
        x = Math.random() * 2.0 - 1.0;
        y = Math.random() * 2.0 - 1.0;
        z = Math.random() * 2.0 - 1.0;
        d = x*x + y*y + z*z;
    } while(d > 1.0);
    return {x: x, y: y, z: z};
} 

This works well as you can see

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John D'Errico 2020-1-28

Sigh. Of course, you posted this answer as Python code, when MATLAB code was needed.

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Answer 3

Patricia Sperry 2019-9-21

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https://ww2.mathworks.cn/matlabcentral/answers/473205-how-to-generate-random-point-inside-a-sphere#answer_392901

编辑：Ashish 2020-5-13

在 MATLAB Online 中打开

Floow this method for generating the random points on sphere. I have also used this method for doing my work for the project.

Do try this code:

TH = 2*pi*rand(1,1e4);
PH = asin(-1+2*rand(1,1e4));
[X,Y,Z] = sph2cart(TH,PH,1);
plot3(X,Y,Z,'.','markersize',1)
axis equal vis3d

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darova 2019-9-21

I like how it looks like but all points are on sphere surface (not inside)

I think random radius should be added

DGM 2024-2-23

Considering that I just deleted 8 other junk answers used for spam links, something tells me that these answers were also spam but have since had their links removed. That might explain why they're not relevant to the question.

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